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23220311200 = 2552197251587
BaseRepresentation
bin10101101000000010…
…011101010010100000
32012221021010000201221
4111220002131102200
5340023344424300
614400043504424
71451264250202
oct255002352240
965837100657
1023220311200
119936295539
124600528114
132260908418
1411a3c7a772
1590d82c31a
hex56809d4a0

23220311200 has 144 divisors (see below), whose sum is σ = 57298770144. Its totient is φ = 9188480000.

The previous prime is 23220311189. The next prime is 23220311201. The reversal of 23220311200 is 211302232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23220311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39557307 + ... + 39557893.

It is an arithmetic number, because the mean of its divisors is an integer number (397908126).

Almost surely, 223220311200 is an apocalyptic number.

23220311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28649385072).

23220311200 is an abundant number, since it is smaller than the sum of its proper divisors (34078458944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23220311200 is a wasteful number, since it uses less digits than its factorization.

23220311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23220311200 its reverse (211302232), we get a palindrome (23431613432).

The spelling of 23220311200 in words is "twenty-three billion, two hundred twenty million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 197 200 251 394 400 502 587 788 800 985 1004 1174 1255 1576 1970 2008 2348 2510 2935 3152 3940 4016 4696 4925 5020 5870 6275 6304 7880 8032 9392 9850 10040 11740 12550 14675 15760 18784 19700 20080 23480 25100 29350 31520 39400 40160 46960 49447 50200 58700 78800 93920 98894 100400 115639 117400 147337 157600 197788 200800 231278 234800 247235 294674 395576 462556 469600 494470 578195 589348 736685 791152 925112 988940 1156390 1178696 1236175 1473370 1582304 1850224 1977880 2312780 2357392 2472350 2890975 2946740 3683425 3700448 3955760 4625560 4714784 4944700 5781950 5893480 7366850 7911520 9251120 9889400 11563900 11786960 14733700 18502240 19778800 23127800 23573920 29025389 29467400 39557600 46255600 58050778 58934800 92511200 116101556 117869600 145126945 232203112 290253890 464406224 580507780 725634725 928812448 1161015560 1451269450 2322031120 2902538900 4644062240 5805077800 11610155600 23220311200